Categories of Local Dynamical Systems

MR0328894 Kimura, I. Ikuo KIMURA Categories of Local Dynamical Systems Funkcialaj Ekvacioj. Serio Internacia 16 1973 29--52 http://fe.math.kobe-u.ac.jp/FE/Free/vol16/fe16-1-2.pdf http://fe.math.kobe-u.ac.jp/FE/FE_pdf_with_bookmark/FE11-20-en_KML/fe16-029-052/fe16-029-052.pdf http://www.ams.org/mathscinet-getitem?mr=MR0328894 fe16-029-052 1973 Categories of Local Dynamical Systems Kimura, I. Kimura, I. 1 Ahmad, S. On Ura's Axioms and Local Dynamical Systems Funkcial. Ekvac. 12 1969 181-191 MR0255939 0255939 2 Belanger, D. G. Continuous Reparametrization5 of Dynamical Systems Funkcial. Ekvac. 14 1971 123-128 MR0304785 0304785 3 Carlson, D. H. Extensions of Dynamical Systems via Prolongations Funkcial. Ekvac. 14 1971 35-46 MR0314022 0314022 4 Eilenberg, S. Foundations of Fibre Bundles Univ. of Chicago 1957 5 Gottschalk, W. H.; Hedlund, G. A. Topological Dynamics Amer. Math, Soc., Providence, R.I. 1955 MR0074810

6 Hájek, O. Categorial Concepts in Dynamical System Theory Topological Dynamics, An International Symposium, Benjamin, New York 1968 243-258

7 Hájek, O. Local Characterisation of Local Semi-dynamical Systems Math. Syst. Theory 2 1968 17-25 MR0239575

8 Hájek, O. Dynamical Systems in the Plane Academic Press, London and New York 1968 MR0240418 9 Kimura, I. Isomorphisms of Local Dynamical Systems and Separation Axioms for Phase Spaces Funkcial.Ekvac. 13 1970 23-34 MR0268877 0268877 10 Kuratowski, K. Topology II Academic Press, New York and London 1968 (English tr.) MR0259835

11 McCann, R. C. A Classification of Centers Pacific J. Math. 30 1969 733-746 MR0259288

12 Nemytskii, V. V.; Stepanov, V. V. Qualitative Theory of Differential Equations Princeton Univ. Press, Princeton N.J. 1960. (English tr.) MR0121520

13 Ura, T. Local Isomorphisms and Local Parallelizability of Dynamical Systems Topological Dynamics, An International Symposium, Benjamin, New York 1968 493-506

14 Ura, T. Local Isomorphism and Local Parallelizability in Dynamical Systems Theory Math. Syst. Theory 3 1969 1-16 MR0247220

15 Ura, T. Isoniorphisms and Local Characterization of Local DynamicaI Systems Funkcial. Ekvac. 12 1969 99-122 MR0259886 0259886

16 Ura, T. Local Dynamical systems and Their Isomorphisms Japan-United States Seminar on Ordinary Differential and Functional Equations, Lecture Notes in Math. 243, Springer-Verlag, Berlin, Heidelberg and New York 1971 76-90 MR0393683